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2 years ago

5

Find the unit rate. Enter your answer as a mixed number. 7 1 A fertilizer covers 8 square foot In = hour. The unit rate is squar

e feet per hour.

1 answer:

kozerog [31]2 years ago

7 0

Answer:

Step-by-step explanation:

7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.

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A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa

tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= $^{13}C_{6}$

= $\frac{13!}{(6!)(13-6)!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}$

= $\frac{1235520}{720}$

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0

2 years ago

Aleksandr [31]

Answer:

What was the result of civil wars breaking out in countries such as Honduras, Nicaragua, Guatemala, and El Salvador in the 1970s?

increased spread of famine

increased trade with other nations

the rebirth of enslavement

the deaths of many people

Step-by-step explanation:

5 0

2 years ago

At the north campus of a performing arts school, 30% of the students are music majors. At the south campus, 70% of the stude

Ivenika [448]

Answer:

The north campus had 600 students (180 music majors)

The south campus had 400 students (280 music majors)

Step-by-step explanation:

x = number of students at the north campus before the merger

If the total of students for the two school is given as 1000, so:

(1000 - x) = number of students at the south campus before the merger.

The equation for music major is:

0,3x + 0,7(1000-x) = 0,46(1000)

0,3x + 700 - 0,7x = 460

0,3x - 0,7x = 460 - 700

- 0,4x = -240

x = -240/-0,4

x = 600 -----> total number of students at the north campus

600*(0,3) = 180 music majors at the north

100 - 600 = 400 ------> total number of students at the south campus

400*(0,7) = 280------>music majors at the south

4 0

2 years ago

The population of a county is growing at a rate of 9% per year, compounded continuously. How many years will it take for the pop

torisob [31]

Answer:

$t=15.4\ years$

Step-by-step explanation:

The exponential growth function compounded continuously is equal to

$A=P(e)^{rt}$

where

A is the final population

P is the initial population

r is the rate of growth in decimal

t is Number of years

e is the mathematical constant number

we have

$A=4x\\P=x\\ r=9\%=9/100=0.09$

substitute in the function above

$4x=x(e)^{0.09t}$

simplify

$4=(e)^{0.09t}$

Take natural log of both sides

$ln(4)=ln[(e)^{0.09t}]$

$ln(4)=0.09t(ln(e))$

$ln(e)=1$

$ln(4)=0.09t$

$t=ln(4)/0.09$

$t=15.4\ years$

8 0

3 years ago

PLEASE HELP ASAP A group of 8th and 9th graders were surveyed about whether they use social media to communicate with their frie

telo118 [61]

A,B,D,E

just got it right

4 0

2 years ago

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